Second-order quark number susceptibility of deconfined QCD matter in the presence of a magnetic field

Abstract

Considering the strong field approximation we compute the hard thermal loop pressure at finite temperature and chemical potential of hot and dense deconfined QCD matter in lowest Landau level in one-loop order. We consider the anisotropic pressure in the presence of the strong magnetic field i.e., longitudinal and transverse pressure along parallel and perpendicular to the magnetic field direction. As a first effort, we compute and discuss the anisotropic quark number susceptibility of deconfined QCD matter in lowest Landau level. The longitudinal quark number susceptibility is found to increase with the temperature whereas the transverse one decreases with the temperature. We also compute the quark number susceptibility in the weak field approximation. We find that the thermomagnetic correction to the quark number susceptibility is very marginal in the weak field approximation.

arXiv comment31 pages, 9 figures, Version published in PRD

References in corpus (75)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Estimate of the magnetic field strength in heavy-ion collisions
• The QCD phase diagram for external magnetic fields
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
• "Strongly interacting matter in magnetic fields": an overview
• Fluctuation Probes of Quark Deconfinement
• Charged Particle Ratio Fluctuation as a Signal for QGP
• Comments About the Electromagnetic Field in Heavy-Ion Collisions
• Dimensional Reduction and Dynamical Chiral Symmetry Breaking by a Magnetic Field in $3+1$ Dimensions
• Inverse magnetic catalysis and the Polyakov loop
• The QCD equation of state in background magnetic fields
• Fluctuations and correlations in high temperature QCD
• Time and space dependence of electromagnetic field in relativistic heavy-ion collisions
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Freeze-out parameters: lattice meets experiment
• The pressure of QCD at finite temperatures and chemical potentials
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• Conformal anomaly as a source of soft photons in heavy ion collisions
• Dynamical Chiral Symmetry Breaking by a Magnetic Field in QED
• Quark number susceptibilities from HTL-resummed thermodynamics
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• Meson masses in electromagnetic fields with Wilson fermions
• Bulk Properties of a Fermi Gas in a Magnetic Field
• Thermo-magnetic effects in quark matter: Nambu--Jona-Lasinio model constrained by lattice QCD
• Inverse magnetic catalysis in the linear sigma model with quarks
• Diagonal and off-diagonal quark number susceptibilities at high temperatures
• ${\pi }_0$ pole mass calculation in a strong magnetic field and lattice constraints
• Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
• Properties of neutral mesons in a hot and magnetized quark matter
• Fluctuations, strangeness and quasi-quarks in heavy-ion collisions from lattice QCD
• Three-loop HTLpt Pressure and Susceptibilities at Finite Temperature and Density
• Electromagnetic radiation by quark-gluon plasma in magnetic field
• The weak-field expansion for processes in a homogeneous background magnetic field
• Quark number susceptibilities of hot QCD up to g^6ln(g)
• Electromagnetic spectral properties and Debye screening of a strongly magnetized hot medium
• Electric conductivity of hot and dense quark matter in a magnetic field with Landau level resummation via kinetic equations
• Dynamical quark mass generation in a strong external magnetic field
• Thermo-magnetic evolution of the QCD strong coupling
• Electric and magnetic response of hot QCD matter
• Neutral meson properties in hot and magnetized quark matter: a new magnetic field independent regularization scheme applied to NJL-type model
• Charged and neutral vector meson under magnetic field
• Inverse magnetic catalysis from the properties of the QCD coupling in a magnetic field
• Effective description of hot QCD medium in strong magnetic field and longitudinal conductivity
• Properties of magnetized neutral mesons within a full RPA evaluation
• Properties of Mesons in a Strong Magnetic Field
• Neutral and charged (pseduo)scalar mesons and diquarks under magnetic fields
• Views of the Chiral Magnetic Effect
• Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation
• Quark Number Susceptibility in Hard Thermal Loop Approximation
• Charged pion masses under strong magnetic fields in the NJL model
• Anisotropy of photon production: Initial eccentricity or magnetic field
• Magnetic contribution to dilepton production in heavy-ion collisions
• Magnetic field-dependence of the neutral pion mass in the linear sigma model coupled to quarks: The weak field case
• Anisotropic Pressures in Very Dense Magnetized Matter
• Thermodynamics of the QCD transition from lattice
• Anisotropic electrical conductivity of magnetized hot quark matter
• Quark Number Susceptibility, Thermodynamic Sum Rule, and Hard Thermal Loop Approximation
• Electromagnetic spectral function and dilepton rate in a hot magnetized QCD medium
• Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory
• Quark Number Susceptibilities from Two-Loop Hard Thermal Loop Perturbation Theory
• Neutral meson properties under an external magnetic field in nonlocal chiral quark models
• Bulk viscosity of a hot QCD/QGP medium in strong magnetic field within relaxation-time approximation
• General structure of gauge boson propagator and its spectra in a hot magnetized medium
• Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field
• Effect of magnetic field on dilepton production in a hot plasma
• Hard dilepton production from a weakly magnetized hot QCD medium
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• Possible formation of high temperature superconductor at early stage of heavy-ion collisions
• Soft contribution to the damping rate of a hard photon in a weakly magnetized hot medium
• Quark mass dependent collective excitations and quark number susceptibilities within the hard thermal loop approximation

Cited by in corpus (6)

• Boundary effects on constituent quark masses and on chiral susceptibility in a four-fermion interaction model
• Revisiting shear stress tensor evolution: Non-resistive magnetohydrodynamics with momentum-dependent relaxation time
• Hot perturbative QCD in a very strong magnetic background
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Thermodynamics of strongly magnetized dense quark matter from hard dense loop perturbation theory
• Order-by-order Anisotropic Transport Coefficients of a Magnetised Fluid: a Chapman-Enskog Approach